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Finding the Fourth Proportional to 534.33, 737.21 and 313.28

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Solution

The fourth proportional to 534.33, 737.21 and 313.28 is: 432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.33 : 737.21 = 313.28 : x
  2. Step 2: Convert to fraction form
    534.33/737.21 = 313.28/x
  3. Step 3: Cross multiply
    534.33x = 737.21 × 313.28
  4. Step 4: Simplify right side
    534.33x = 230,953.15
  5. Step 5: Solve for x
    x = 230,953.15/534.33
  6. Step 6: Final answer
    x = 432.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.